38,214 research outputs found
Cohomological Finiteness Conditions in Bredon Cohomology
We show that any soluble group of type Bredon-\FP_{\infty} with respect
to the family of all virtually cyclic subgroups such that centralizers of
infinite order elements are of type \FP_{\infty} must be virtually cyclic. To
prove this, we first reduce the problem to the case of polycyclic groups and
then we show that a polycyclic-by-finite group with finitely many conjugacy
classes of maximal virtually cyclic subgroups is virtually cyclic. Finally we
discuss refinements of this result: we only impose the property Bredon-\FP_n
for some and restrict to abelian-by-nilpotent, abelian-by-polycyclic
or (nilpotent of class 2)-by-abelian groups.Comment: Corrected a mistake in Lemma 2.4 of the previous version, which had
an effect on the results in Section 5 (the condition that all centralisers of
infinite order elements are of type was added
The Two-Point Function and the Effective Magnetic Field in Diluted Ising Models on the Cayley Tree
Some results on the two-point function and on the analytic structure of the
momenta of the effective fugacity at the origin for a class of diluted
ferromagnetic Ising models on the Cayley tree are presented.Comment: 22 page
MACHe3, a prototype for non-baryonic dark matter search: KeV event detection and multicell correlation
Superfluid He3 at ultra-low temperatures (100 microKelvins) is a sensitive
medium for the bolometric detection of particles. MACHe3 (MAtrix of Cells of
Helium 3) is a project for non-baryonic dark matter search using He3 as a
sensitive medium. Simulations made on a high granularity detector show a very
good rejection to background signals. A multicell prototype including 3
bolometers has been developed to allow correlations between the cells for
background event discrimination. One of the cells contains a low activity Co57
source providing conversion electrons of 7.3 and 13.6 keV to confirm the
detection of low energy events. First results on the multicell prototype are
presented. A detection threshold of 1 keV has been achieved. The detection of
low energy conversion electrons coming from the Co57 source is highlighted as
well as the cosmic muon spectrum measurement. The possibility to reject
background events by using the correlation among the cells is demonstrated from
the simultaneous detection of muons in different cells
On the regularization ambiguities in loop quantum gravity
One of the main achievements of LQG is the consistent quantization of the
Wheeler-DeWitt equation which is free of UV problems. However, ambiguities
associated to the intermediate regularization procedure lead to an apparently
infinite set of possible theories. The absence of an UV problem is intimately
linked with the ambiguities arising in the quantum theory. Among these
ambiguities there is the one associated to the SU(2) unitary rep. used in the
diffeomorphism covariant pointsplitting regularization of nonlinear funct. of
the connection. This ambiguity is labelled by a halfinteger m and, here, it is
referred to as the m-ambiguity. The aim of this paper is to investigate the
important implications of this ambiguity./ We first study 2+1 gravity quantized
in canonical LQG. Only when the regularization of the quantum constraints is
performed in terms of the fundamental rep. of the gauge group one obtains the
usual TQFT. In all other cases unphysical local degrees of freedom arise at the
level of the regulated theory that conspire against the existence of the
continuum limit. This shows that there is a clear cut choice in the
quantization of the constraints in 2+1 LQG./ We then analyze the effects of the
ambiguity in 3+1 gravity exhibiting the existence of spurious solutions for
higher unit. rep. quantizations of the Hamiltonian constraint. Although the
analysis is not complete in D=3+1--due to the difficulties associated to the
definition of the physical inner product--it provides evidence supporting the
definitions quantum dynamics of loop quantum gravity in terms of the
fundamental representation of the gauge group as the only consistent
possibilities. If the gauge group is SO(3) we find physical solutions
associated to spin-two local excitations.Comment: 21 page
A signature of quantum gravity at the source of the seeds of cosmic structure?
This article reviews a recent work by a couple of colleagues and myself about
the shortcomings of the standard explanations of the quantum origin of cosmic
structure in the inflationary scenario, and a proposal to address them. The
point it that in the usual accounts the inhomogeneity and anisotropy of our
universe seem to emerge from an exactly homogeneous and isotropic initial state
through processes that do not break those symmetries. We argued that some novel
aspect of physics must be called upon to able to address the problem in a fully
satisfactory way. The proposed approach is inspired on Penrose's ideas
regarding an quantum gravity induced, real and dynamical collapse of the wave
function.Comment: LateX, (jpconference macros), Prepared for the proceedings the Third
International Workshop DICE 2006, " Quantum Mechanics between decoherence and
Determinism
Effects of hydrogen/deuterium absorption on the magnetic properties of Co/Pd multilayers
The effects of hydrogen (H2) and deuterium (D2) absorption were studied in
two Co/Pd multilayers with perpendicular magnetic anisotropy (PMA) using
polarized neutron reflectivity (PNR). PNR was measured in an external magnetic
field H applied in the plane of the sample with the magnetization M confined in
the plane for {\mu}_o H= 6.0 T and partially out of plane at 0.65 T. Nominal
thicknesses of the Co and Pd layers were 2.5 {\AA} and 21 {\AA}, respectively.
Because of these small values, the actual layer chemical composition,
thickness, and interface roughness parameters were determined from the nuclear
scattering length density profile ({\rho}_n) and its derivative obtained from
both x-ray reflectivity and PNR, and uncertainties were determined using Monte
Carlo analysis. The PNR {\rho}_n showed that although D2 absorption occurred
throughout the samples, absorption in the multilayer stack was modest (0.02 D
per Pd atom) and thus did not expand. Direct magnetometry showed that H2
absorption decreased the total M at saturation and increased the component of M
in the plane of the sample when not at saturation. The PNR magnetic scattering
length density ({\rho}_m) revealed that the Pd layers in the multilayer stack
were magnetized and that their magnetization was preferentially modified upon
D2 absorption. In one sample, a modulation of M with twice the multilayer
period was observed at {\mu}_o H= 0.65 T, which increased upon D2 absorption.
These results indicate that H2 or D2 absorption decreases both the PMA and
total magnetization of the samples. The lack of measurable expansion during
absorption indicates that these changes are primarily governed by modification
of the electronic structure of the material.Comment: to appear in Physics review B, 201
Self-control in Sparsely Coded Networks
A complete self-control mechanism is proposed in the dynamics of neural
networks through the introduction of a time-dependent threshold, determined in
function of both the noise and the pattern activity in the network. Especially
for sparsely coded models this mechanism is shown to considerably improve the
storage capacity, the basins of attraction and the mutual information content
of the network.Comment: 4 pages, 6 Postscript figure
A moment based approach to the dynamical solution of the Kuramoto model
We examine the dynamics of the Kuramoto model with a new analytical approach.
By defining an appropriate set of moments the dynamical equations can be
exactly closed. We discuss some applications of the formalism like the
existence of an effective Hamiltonian for the dynamics. We also show how this
approach can be used to numerically investigate the dynamical behavior of the
model without finite size effects.Comment: 6 pages, 5 figures, Revtex file, to appear in J. Phys.
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